Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter |
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| Authors: | A Laurinčikas R Macaitienė D Mochov D Šiaučiūnas |
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| Institution: | 1.Vilnius University,Vilnius,Lithuania;2.?iauliai University, ?iauliai State College,?iauliai,Lithuania;3.?iauliai University,?iauliai,Lithuania |
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| Abstract: | The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter. |
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